Half-Life and Decay Constant

t1/2=ln2λt_{1/2} = \frac{\ln 2}{\lambda}

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The half-life and the decay constant describe the same decay speed in two dialects: t1/2 is the intuitive "time to halve," while λ is the per-second probability that any given nucleus decays, the natural parameter of the exponential law N = N0e^(−λt). Setting the exponential equal to one half links them through ln 2 = 0.6931471806 — a large λ means a short half-life, and vice versa.

Half-Life and Decay Constant
t1/2=ln2λt_{1/2} = \frac{\ln 2}{\lambda}
Where
  • t1/2t_{1/2}= Half-life
  • λ\lambda= Decay constant
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